Entry Krishnan:1997:ESI from tog.bib
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BibTeX entry
@Article{Krishnan:1997:ESI,
author = "Shankar Krishnan and Dinesh Manocha",
title = "An Efficient Surface Intersection Algorithm Based on
Lower-Dimensional Formulation",
journal = j-TOG,
volume = "16",
number = "1",
pages = "74--106",
month = jan,
year = "1997",
CODEN = "ATGRDF",
ISSN = "0730-0301",
bibdate = "Wed Feb 26 10:45:12 MST 1997",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org/pubs/citations/journals/tog/1997-16-1/p74-krishnan/",
abstract = "We present an efficient algorithm to compute the
intersection of algebraic and NURBS surfaces. Our
approach is based on combining the marching methods
with the algebraic formulation. In particular, we
propose and matrix computations. We present algorithms
to compute a start point on each component of the
intersection curve (both open and closed components),
detect the presence of singularities, and find all the
curve branches near the singularity. We also suggest
methods to compute the step size during tracing to
prevent component jumping. The algorithm runs an order
of magnitude faster than previously published robust
algorithms. The complexity of the algorithm is output
sensitive.",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf I.3.5}: Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Curve, surface, solid, and object representations. {\bf
J.6}: Computer Applications, COMPUTER-AIDED
ENGINEERING.",
}
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28(3)92,
28(4)105
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6(4)274,
8(1)25,
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8(3)235,
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10(1)92,
10(4)378,
11(1)12,
11(2)140,
13(1)73,
13(3)277,
13(3)308,
13(4)337,
13(4)400,
14(1)21,
15(3)223,
16(3)296,
18(3)257,
25(3)1154,
27(1)3,
27(3)79,
27(3)87,
28(3)47,
28(3)84
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4(1)12,
4(4)291,
5(1)1,
6(3)238,
6(4)274,
7(1)1,
7(1)42,
7(2)83,
7(3)198,
8(1)25,
8(1)51,
8(3)204,
8(4)263,
8(4)325,
8(4)335,
8(4)360,
9(2)147,
9(2)160,
9(2)212,
10(1)71,
10(3)297,
10(3)312,
10(4)366,
10(4)378,
11(1)12,
11(2)140,
11(2)152,
12(1)56,
12(2)113,
12(3)209,
12(4)305,
12(4)327,
13(1)3,
13(3)277,
13(4)400,
14(2)103,
14(3)266,
16(1)34,
16(2)155,
16(2)179,
16(3)319,
17(4)259,
18(1)35,
18(4)329,
19(1)27,
19(1)56
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26(1)1
- magnitude,
7(3)151,
9(3)245,
17(2)84,
19(1)56,
20(1)39,
20(3)127,
26(3)15,
26(3)71,
26(3)77,
26(3)89,
26(3)91,
26(3)100,
27(1)7,
27(3)32,
27(3)85,
27(4)104,
27(5)129,
27(5)166,
28(3)40,
28(3)51,
28(3)65,
28(3)72,
28(3)74,
28(3)94,
28(3)96
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13(1)73,
22(3)501,
22(3)678,
24(3)886,
24(3)991,
25(3)1144,
27(4)106,
27(5)158
- marching,
11(3)201,
17(2)84,
26(3)57,
27(1)7,
27(3)36,
27(4)104
- matrix,
4(1)12,
10(1)71,
13(1)73,
13(2)137,
13(3)277,
14(2)134,
16(3)277,
16(3)319,
20(4)203,
22(3)917,
24(3)527,
26(3)26,
26(3)62,
27(1)6,
27(3)31,
27(3)40,
28(1)8,
28(3)29,
28(3)72
- near,
11(3)259,
13(1)3,
19(1)1,
26(3)13,
26(3)22,
26(3)39,
26(3)48,
26(3)106,
27(1)3,
28(3)48
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13(2)103,
24(3)1016,
25(2)268,
27(3)79,
28(3)46,
28(3)47
- open,
11(1)61,
27(2)12,
27(3)42,
27(3)84,
28(3)77
- order,
7(3)151,
9(1)1,
9(3)245,
10(1)1,
10(1)40,
10(2)152,
11(1)1,
11(1)40,
11(4)305,
11(4)406,
12(4)277,
13(1)3,
13(2)103,
13(2)177,
17(2)84,
18(4)316,
19(1)56,
19(2)122,
19(3)204,
20(1)39,
20(3)127,
22(2)131,
26(3)5,
26(3)10,
26(3)15,
26(3)22,
26(3)55,
26(3)67,
26(3)75,
26(3)76,
26(3)89,
26(3)91,
26(3)95,
26(3)100,
27(1)2,
27(1)7,
27(3)18,
27(3)22,
27(3)66,
27(3)68,
27(3)77,
27(3)85,
27(3)94,
27(4)104,
27(5)113,
27(5)117,
27(5)126,
27(5)129,
27(5)130,
27(5)134,
27(5)141,
27(5)155,
27(5)166,
28(3)27,
28(3)40,
28(3)43,
28(3)51,
28(3)65,
28(3)74,
28(3)77,
28(3)81,
28(3)84,
28(3)94,
28(3)96,
28(4)101
- output,
2(3)182,
11(1)1,
13(3)209,
14(1)58,
20(1)1,
26(3)34,
26(3)58,
26(3)95,
26(3)102,
27(3)52,
27(3)68,
27(3)97,
27(5)110,
27(5)158,
28(1)1,
28(3)44,
28(3)56,
28(3)59,
28(3)72
- particular,
10(2)152,
11(1)40,
14(1)77,
14(3)266,
18(2)96,
20(1)1,
26(3)17,
26(3)31,
26(3)37,
26(3)39,
26(3)43,
26(3)47,
26(3)55,
26(4)16,
26(4)18,
27(1)5,
27(3)44,
27(3)76,
27(3)78,
27(5)130,
27(5)165,
28(1)6,
28(2)13,
28(2)14,
28(2)17,
28(3)28,
28(3)74,
28(3)76,
28(4)101
- presence,
9(1)1,
10(2)182,
13(3)300,
21(3)645,
26(3)21,
26(3)23,
26(3)37,
27(3)85,
27(5)130,
28(1)6,
28(3)55,
28(3)80
- prevent,
11(3)201,
13(4)313,
15(3)249,
27(3)99,
28(3)84
- previously,
10(2)182,
13(3)240,
14(3)203,
15(3)179,
16(2)155,
16(4)359,
17(1)1,
20(3)169,
26(1)6,
26(3)59,
27(5)127,
27(5)164,
28(3)22
- propose,
11(4)336,
14(1)58,
14(3)203,
17(4)259,
19(1)27,
19(4)302,
26(1)4,
26(2)10,
26(3)12,
26(3)13,
26(3)17,
26(3)24,
26(3)25,
26(3)26,
26(3)48,
26(3)49,
26(3)50,
26(3)52,
26(3)59,
26(3)70,
26(3)73,
26(3)75,
26(3)82,
26(3)87,
26(3)95,
26(3)98,
26(3)100,
26(4)15,
27(1)4,
27(1)9,
27(3)25,
27(3)29,
27(3)46,
27(3)48,
27(3)51,
27(3)52,
27(3)58,
27(3)62,
27(3)64,
27(3)65,
27(3)66,
27(3)68,
27(3)70,
27(3)74,
27(3)85,
27(3)98,
27(5)114,
27(5)125,
27(5)143,
27(5)153,
27(5)155,
27(5)161,
27(5)165,
28(1)3,
28(2)18,
28(3)21,
28(3)22,
28(3)23,
28(3)24,
28(3)29,
28(3)32,
28(3)35,
28(3)37,
28(3)38,
28(3)41,
28(3)50,
28(3)51,
28(3)63,
28(3)94,
28(4)101,
28(4)104
- published,
2(2)109,
16(2)109,
16(2)155,
28(3)73
- robust,
10(1)71,
10(1)92,
12(2)160,
12(3)251,
13(1)43,
13(4)313,
17(3)177,
17(4)259,
19(2)122,
21(3)567,
21(3)594,
23(3)888,
24(2)311,
24(3)544,
26(1)1,
26(2)8,
26(2)9,
26(2)12,
26(3)22,
26(3)23,
26(3)57,
26(3)58,
26(3)60,
26(3)82,
26(3)98,
26(3)100,
26(3)101,
26(3)104,
26(3)107,
26(4)20,
27(3)23,
27(3)27,
27(3)43,
27(3)44,
27(3)61,
27(3)85,
27(3)87,
27(5)130,
27(5)152,
27(5)164,
28(1)6,
28(3)22,
28(3)34,
28(3)37,
28(3)70,
28(3)71,
28(4)101
- run,
11(1)1,
14(4)311,
26(3)6,
26(3)27,
26(3)39,
26(3)76,
26(3)96,
27(3)20,
27(3)35,
27(3)52,
27(3)85,
27(3)90,
27(5)124,
27(5)153,
27(5)163,
28(1)4,
28(3)74,
28(3)91,
28(4)104
- sensitive,
9(3)278,
19(3)204,
23(4)963,
26(3)19,
27(3)89,
27(5)133,
28(3)65
- singularity,
26(3)55,
27(2)10,
27(3)77,
28(2)17,
28(3)77
- size,
9(3)245,
11(2)103,
11(3)201,
13(1)43,
13(3)240,
14(1)3,
14(2)103,
15(4)301,
18(3)257,
19(1)56,
19(2)79,
20(2)67,
20(3)127,
22(2)131,
26(3)3,
26(3)10,
26(3)18,
26(3)25,
26(3)48,
26(3)53,
26(3)57,
26(3)62,
26(3)73,
26(3)75,
26(3)77,
26(3)79,
27(5)143,
27(5)147,
28(3)23,
28(3)38,
28(3)55,
28(3)78
- start,
10(1)92,
27(1)5,
27(5)161,
27(5)164,
28(3)91
- step,
3(3)223,
10(2)152,
11(3)276,
13(3)240,
15(1)37,
15(3)211,
16(2)109,
16(2)179,
17(1)50,
17(4)209,
17(4)238,
19(1)56,
20(1)1,
26(3)16,
26(3)76,
26(3)77,
26(3)91,
26(3)100,
26(3)104,
26(3)105,
26(4)19,
27(3)25,
27(3)29,
27(3)46,
27(3)50,
27(3)60,
27(3)70,
27(3)73,
27(3)81,
27(5)132,
28(1)10,
28(1)11,
28(3)26,
28(3)38,
28(3)40,
28(3)66,
28(3)77
- suggest,
14(1)3,
18(2)96,
20(1)10,
26(3)35,
28(3)28,
28(3)73,
28(4)104
- than,
10(1)71,
11(2)183,
11(4)373,
13(1)3,
13(1)73,
13(3)240,
14(3)266,
15(3)179,
15(4)332,
15(4)354,
16(1)3,
16(3)319,
16(4)359,
17(1)1,
17(2)84,
18(2)96,
18(2)171,
19(1)56,
19(4)279,
20(3)127,
20(3)169,
26(2)10,
26(3)15,
26(3)30,
26(3)37,
26(3)38,
26(3)42,
26(3)57,
26(3)61,
26(3)73,
26(3)91,
26(3)108,
26(4)16,
26(4)20,
27(1)2,
27(1)7,
27(3)18,
27(3)19,
27(3)20,
27(3)21,
27(3)26,
27(3)27,
27(3)31,
27(3)33,
27(3)34,
27(3)40,
27(3)46,
27(3)65,
27(3)87,
27(3)90,
27(3)97,
27(5)111,
27(5)123,
27(5)126,
27(5)129,
27(5)133,
27(5)142,
27(5)143,
27(5)165,
27(5)166,
28(3)26,
28(3)40,
28(3)44,
28(3)50,
28(3)64,
28(3)67,
28(3)73,
28(3)74,
28(3)75,
28(3)85,
28(3)93,
28(3)94,
28(3)96,
28(3)97,
28(4)101,
28(4)104
- tracing,
1(2)85,
1(3)235,
2(3)161,
3(1)52,
3(3)223,
4(4)291,
5(1)51,
6(3)238,
7(3)151,
9(1)1,
9(3)245,
9(4)389,
13(4)376,
14(1)77,
14(4)337,
18(3)213,
18(3)278,
18(4)361,
19(2)79,
19(2)122,
19(4)246,
21(3)703,
24(3)434,
24(3)1127,
24(3)1156,
24(3)1176,
24(3)1186,
25(3)485,
26(1)6,
26(3)59,
26(3)66,
26(3)86,
27(1)7,
27(2)13,
27(3)31,
27(3)32,
27(3)33,
27(3)35,
27(3)36,
27(3)86,
27(3)92,
27(5)126,
27(5)130,
28(3)47